q-deformed Quantum Mechanics with q-translation Symmetry and Supersymmetric q-deformed Quantum Mechanics
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DOI: 10.1007/s00601-019-1538-4
Abstract: In this paper the q-deformed Schrodinger equation is derived from the q-translation symmetry in space. The correct unitary q-translation operator is constructed for q-deformed quantum mechanics with q-translation symmetry. The supersymmetric q-deformed quantum mechanics with… read more here.
Keywords: quantum mechanics; translation symmetry; mechanics; deformed quantum ... See more keywords
Time-translation-symmetry breaking in a driven oscillator: From the quantum coherent to the incoherent regime
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DOI: 10.1103/physreva.96.052124
Abstract: We study the breaking of the discrete time-translation symmetry in small periodically driven quantum systems. Such systems are intermediate between large closed systems and small dissipative systems, which both display the symmetry breaking, but have… read more here.
Keywords: time; time translation; symmetry breaking; symmetry ... See more keywords
Deformed classical mechanics with α-deformed translation symmetry and anomalous diffusion
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DOI: 10.1142/s0217984919503688
Abstract: In this paper, [Formula: see text]-deformed mechanics was presented with the [Formula: see text]-deformed translation symmetry based on [Formula: see text]-addition and [Formula: see text]-subtraction. The [Formula: see text]-deformed Langevin equation is also discussed. Finally,… read more here.
Keywords: mechanics; text deformed; see text; formula see ... See more keywords